76418217607680 has 3840 divisors, whose sum is σ = 327086846102016. Its totient is φ = 16924079554560.

The previous prime is 76418217607609. The next prime is 76418217607747. The reversal of 76418217607680 is 8670671281467.

76418217607680 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 8 + 2 + 17 + 607 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 422200097190 + ... + 422200097370.

Almost surely, 2^{76418217607680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76418217607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163543423051008).

76418217607680 is an abundant number, since it is smaller than the sum of its proper divisors (250668628494336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76418217607680 is a wasteful number, since it uses less digits than its factorization.

76418217607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 76418217607680 in words is "seventy-six trillion, four hundred eighteen billion, two hundred seventeen million, six hundred seven thousand, six hundred eighty".